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On the maximum number of translates Bernardo M. brego
 

Summary: On the maximum number of translates
Bernardo M. Ábrego
, Silvia Fernández-Merchant*
Department of Mathematics
California State University, Northridge,
18111 Nordhoff St, Northridge, CA 91330-8313,
and
Centro de Investigación en Matemáticas, A.C.
Jalisco S/N, Colonia Valenciana, 36240, Guanajuato, GTO., México.
{bernardo.abrego,silvia.fernandez}@csun.edu
Bernardo Llano
Departamento de Matemáticas
Universidad Autónoma Metropolitana, Iztapalapa,
San Rafael Atlixco 186, Colonia Vicentina, 09340, México, D.F.
llano@xanum.uam.mx
June 2008, Revised Version.
Abstract
Given a finite set P Rd, called a pattern, tP (n) denotes the maximum number
of translated copies of P determined by n points in Rd. We give the exact value of
tP (n) when P is a rational simplex, that is, the points of P are rationally affinely

  

Source: Abrego, Bernardo - Department of Mathematics, California State University, Northridge
Fernandez, Silvia - Department of Mathematics, California State University, Northridge

 

Collections: Mathematics